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3380724736 = 210232792
BaseRepresentation
bin1100100110000001…
…1100010000000000
322201121102121111021
43021200130100000
523410431142421
61315244355224
7146530454224
oct31140342000
98647377437
103380724736
111485370594
127a4245b14
1341b53754c
14240dd0784
1514bbeb341
hexc981c400

3380724736 has 99 divisors (see below), whose sum is σ = 7155315111. Its totient is φ = 1596401664.

The previous prime is 3380724691. The next prime is 3380724791. The reversal of 3380724736 is 6374270833.

The square root of 3380724736 is 58144.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×33807247362 = 22858599481204539392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3380724692 and 3380724701.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42793945 + ... + 42794023.

Almost surely, 23380724736 is an apocalyptic number.

3380724736 is the 58144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380724736

3380724736 is an abundant number, since it is smaller than the sum of its proper divisors (3774590375).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3380724736 is an frugal number, since it uses more digits than its factorization.

3380724736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 43.

The cubic root of 3380724736 is about 1500.8476299624.

The spelling of 3380724736 in words is "three billion, three hundred eighty million, seven hundred twenty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 128 158 184 256 316 368 512 529 632 736 1024 1058 1264 1472 1817 2116 2528 2944 3634 4232 5056 5888 6241 7268 8464 10112 11776 12482 14536 16928 20224 23552 24964 29072 33856 40448 41791 49928 58144 67712 80896 83582 99856 116288 135424 143543 167164 199712 232576 270848 287086 334328 399424 465152 541696 574172 668656 798848 930304 1148344 1337312 1597696 1860608 2296688 2674624 3195392 3301489 4593376 5349248 6390784 6602978 9186752 10698496 13205956 18373504 21396992 26411912 36747008 42793984 52823824 73494016 105647648 146988032 211295296 422590592 845181184 1690362368 3380724736